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Finding the Fourth Proportional to 6,342.36, 9,512.61 and 3,711.08

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Solution

The fourth proportional to 6,342.36, 9,512.61 and 3,711.08 is: 5,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.36 : 9,512.61 = 3,711.08 : x
  2. Step 2: Convert to fraction form
    6,342.36/9,512.61 = 3,711.08/x
  3. Step 3: Cross multiply
    6,342.36x = 9,512.61 × 3,711.08
  4. Step 4: Simplify right side
    6,342.36x = 35,302,009.16
  5. Step 5: Solve for x
    x = 35,302,009.16/6,342.36
  6. Step 6: Final answer
    x = 5,566.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.